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Finding the Fourth Proportional to 1,642.05, 2,265.78 and 1,052.64

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Solution

The fourth proportional to 1,642.05, 2,265.78 and 1,052.64 is: 1,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.05 : 2,265.78 = 1,052.64 : x
  2. Step 2: Convert to fraction form
    1,642.05/2,265.78 = 1,052.64/x
  3. Step 3: Cross multiply
    1,642.05x = 2,265.78 × 1,052.64
  4. Step 4: Simplify right side
    1,642.05x = 2,385,050.66
  5. Step 5: Solve for x
    x = 2,385,050.66/1,642.05
  6. Step 6: Final answer
    x = 1,452.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.